Exercise 8.1
Exercise 8.1 Key Concepts & Practice Goals
This exercise focuses on understanding the definition of a sequence as a function whose domain is the set of natural numbers $\mathbb{N}$. You will practice finding initial terms from explicit formulas for $a_n$ and working with recurrence relations (e.g., $a_n = 3a_{n-1} + 2$).
| Problem Type | Given Formula Example | Method of Solution |
|---|---|---|
| First $k$ terms | $a_n = n(n+2)$ or $a_n = \frac{n}{n+1}$ | Substitute $n = 1, 2, 3, 4, 5$ successively to compute each term. |
| Specified term | $a_n = 4n - 3$; find $a_{17}, a_{24}$ | Substitute target index ($n=17$, $n=24$) directly into general formula. |
| Recursive relation | $a_1 = 3, a_n = 3a_{n-1} + 2$ for $n > 1$ | Evaluate previous term first, then substitute into recurrence definition. |
Sequences and Series: Introduction & General Terms
About Class 11 Maths Sequences And Series Exercise 8.1
This NCERT Class 11 Maths exercise focuses on Sequences and Series: Introduction & General Terms from the chapter Sequences And Series. Revise the relevant definitions, standard results, notation, and worked examples before attempting the questions.
Attempt each question independently and write the reasoning in complete steps. Check symbols, substitutions, diagrams, and final conditions carefully, then use the step-by-step solution to identify exactly what needs revision.